Yes, chafe is a Scrabble word!

Verb

1. Become or make sore by or as if by rubbing

2. Feel extreme irritation or anger

3. Cause annoyance in; disturb, especially by minor irritations

4. Tear or wear off the skin or make sore by abrading

5. Cause friction

6. Warm by rubbing, as with the hands

Noun

1. Soreness and warmth caused by friction

2. Anger produced by some annoying irritation